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Atlas › Integer Profiles › Node 40,246,740

40,246,740

22 × 33 × 5 × 74531
Abundant Even Composite

40,246,740 factors as 2^2 × 3^3 × 5 × 74531. Its 48 positive divisors give a proper-divisor sum of 84,967,020, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 74531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 125,213,760
Proper Divisor Sum 84,967,020
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40246733 ← → #40246771

Radix Representation

Decimal 40246740
Binary 10011001100001110111010100 (26 bits)
Octal 0o231416724
Hexadecimal 0x2661DD4

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 74,531 149,062 223,593 298,124 372,655 447,186 670,779 745,310 894,372 1,117,965 1,341,558 1,490,620 2,012,337 2,235,930 2,683,116 3,353,895 4,024,674 4,471,860 6,707,790 8,049,348 10,061,685 13,415,580 20,123,370 40,246,740

Collatz Trajectory (116 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,246,740 20,123,370 10,061,685 30,185,056 15,092,528 7,546,264 3,773,132 1,886,566 943,283 2,829,850 1,414,925 4,244,776 2,122,388 1,061,194 530,597 1,591,792 795,896 397,948 198,974 99,487 298,462 149,231 447,694 223,847 671,542 335,771 1,007,314 503,657 1,510,972 755,486 377,743 1,133,230 566,615 1,699,846 849,923 2,549,770 1,274,885 3,824,656 1,912,328 956,164 478,082 239,041 717,124 358,562 179,281 537,844 268,922 134,461 403,384 201,692 100,846 50,423 151,270 75,635 226,906 113,453 340,360 170,180 85,090 42,545

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